
\begin{tikzpicture}[scale=1.2]
  \tkzDefPoints{0/0/B,3/1/E,0/{1+3^(2/3)}/C}
  \tkzDefRectangle(B,E) \tkzGetPoints{A}{F}
  \tkzInterLL(B,E)(A,F) \tkzGetPoint{D}
  \tkzInterLL(C,E)(A,B) \tkzGetPoint{G}
  \tkzDrawPolygon(A,B,F,E)
  \tkzDrawSegments(B,E A,F C,F A,G C,D G,D C,G)
  \tkzMarkSegments[color=teal,mark=|](D,C D,G)
  \tkzDrawPoints(A,B,F,E,D,C,G)
  \tkzLabelPoints[below](A,B,D,G)
  \tkzLabelPoints[left](C,F)
  \tkzLabelPoints[above right](E)
\end{tikzpicture}
